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Finding the Fourth Proportional to 897.11, 1,237.43 and 565.26

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Solution

The fourth proportional to 897.11, 1,237.43 and 565.26 is: 779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.11 : 1,237.43 = 565.26 : x
  2. Step 2: Convert to fraction form
    897.11/1,237.43 = 565.26/x
  3. Step 3: Cross multiply
    897.11x = 1,237.43 × 565.26
  4. Step 4: Simplify right side
    897.11x = 699,466.86
  5. Step 5: Solve for x
    x = 699,466.86/897.11
  6. Step 6: Final answer
    x = 779.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.